The new store will be on the former site of the Hayes Swimming Pool in Botwell Lane, a short walk from Hayes Town.
Travellers had moved into the site and it had since been used to dump rubbish and waste.
The store will be a “Lidl of the Future” design with glass frontage, welcome area, in-store bakery and longer tills.
Work on the site will begin with with the clearance of dumped rubbish.
The regional head of property for the company, Shane O'Farrell, said: “We could not be more delighted to have received planning permission, and look forward to getting started on construction.
“I'd like to take this opportunity to thank the local community for their continued support, and very much look forward to opening our doors and offering our fresh, quality, great value products in the not too distant future.”
Hillingdon Council has given planning permission to the store which Lidl plan to open by the end of next year.
There had been a delay in clearing the rubbish from the site while expert advice was sought but work on removing the waste can now begin.
A statement from Lidl said: “We were incredibly concerned to hear about the issues at our site in Hayes.
“As soon as we were made aware we started legal proceedings and successfully got the travellers evicted.
“We are now working to ensure the land is cleared and would like to thank residents for their patience and understanding during this process.”
There is currently a Lidl store in Uxbridge Road near Yeading Lane and also one in Southall High Street.
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